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Finding the Fourth Proportional to 84,394.94, 116,503.21 and 57,204.72

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Solution

The fourth proportional to 84,394.94, 116,503.21 and 57,204.72 is: 78,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,394.94 : 116,503.21 = 57,204.72 : x
  2. Step 2: Convert to fraction form
    84,394.94/116,503.21 = 57,204.72/x
  3. Step 3: Cross multiply
    84,394.94x = 116,503.21 × 57,204.72
  4. Step 4: Simplify right side
    84,394.94x = 6,664,533,507.15
  5. Step 5: Solve for x
    x = 6,664,533,507.15/84,394.94
  6. Step 6: Final answer
    x = 78,968.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.